Question

A uniform beam of span L is rigidly fixed at both supports. It carries a uniformly distributed load 'w' per unit length. The bending moment at mid span is

• A. $\frac{w{L}^2}{16}$
• B. $\frac{w{L}^2}{24}$
• C. $\frac{w{L}^2}{8}$
• D. $\frac{w{L}^2}{12}$

Answer 1

The correct option is B $\frac{w{L}^2}{24}$

$\text{BM at fixed support}=\frac{W{L}^2}{12}\text{(hogging)}$
$\text{BM at mid span}=\frac{W{L}^2}{24}\text{(sagging)}$